In the present work thermo-electro vibration of the piezoelectric nanoplates resting on the elastic foundations using nonlocal elasticity theory are considered. In-plane and transverse displacements of the nanoplate are approximated by six different modified shear deformation plate theories by considering transverse shear deformation effects and rotary inertia. Moreover, two new distribution of transverse shear stress along the thickness of the nanoplate are introduced for the first time. The equations of motion are derived by implementing Hamilton’s principle and solved using analytical method for various boundary conditions including SSSS, CSSS, CSCS, CCSS and CCCC. Based on a comparison with the previously published results, the accuracy of the results is shown. Finally, the effects of different parameters such as boundary conditions, variations of the thickness to length ratio, aspect ratio, increasing temperature, external voltage, foundation coefficients and length scale on the natural frequency of the plate are shown and discussed in detail.
